Existence and Multiplicity Results for Nonlinear Differential Equations Depending on a Parameter in Semipositone Case

الملخص EN

The existence and multiplicity of solutions for second-order differential equations with a parameter are discussed in this paper.

We are mainly concerned with the semipositone case.

The analysis relies on the nonlinear alternative principle of Leray-Schauder and Krasnosel'skii's fixed point theorem in cones.